• Korean Journal of Mathematics
• /
• v.8 no.1
• /
• pp.87-90
• /
• 2000

Let R be an integral domain with identity. We show that each associated prime ideal of a principal ideal in R[X] has height one if and only if each associated prime ideal of a principal ideal in R has height one and R is an S-domain.

• Bulletin of the Korean Mathematical Society
• /
• v.44 no.2
• /
• pp.203-213
• /
• 2007

The aim of this paper is to introduce modules over the generalized of a semi-prime ${\Gamma}$-ring

• Communications of the Korean Mathematical Society
• /
• v.13 no.2
• /
• pp.251-256
• /
• 1998

We introduce the concept of weakly prime ideals in po-$\Gamma$-semigroup and give some characterizations of weakly prime ideals.

• Honam Mathematical Journal
• /
• v.29 no.4
• /
• pp.667-679
• /
• 2007

We study the prime ideal structure of the direct sum of directed system of rings indexed by a commutative semigroup which is nilpotent extension of a group.

• Journal of the Chungcheong Mathematical Society
• /
• v.22 no.3
• /
• pp.459-466
• /
• 2009

The purpose of this paper is to study the some properties of fuzzy quasi-semiprime ideal, fuzzy prime ideals and to prove some fundamental properties of semigroups. In particular, we will establish a relation between fuzzy prime ideals and weakly completely semiprime ideals by using the some equivalent conditions of fuzzy semiprime ideals.

• Honam Mathematical Journal
• /
• v.27 no.3
• /
• pp.333-341
• /
• 2005

A characterization of prime ideals is discussed. A relation between prime ideals and ideals of the form $A_w^{\wedge}$ is given. The prime ideal theorem is established. The notion of annihilators is introduced, and basic properties are investigated.

• Kyungpook Mathematical Journal
• /
• v.46 no.2
• /
• pp.153-167
• /
• 2006

We study permuting tri-derivations in ${\Gamma}$-rings and give an example.

• Bulletin of the Korean Chemical Society
• /
• v.19 no.1
• /
• pp.115-118
• /
• 1998

• Korean Journal of Mathematics
• /
• v.27 no.2
• /
• pp.329-342
• /
• 2019

In this paper, we introduce the notion of L-fuzzy semi-prime ideals and the radical of L-fuzzy ideals in universal algebras and make a theoretical study on their basic properties.

• Journal of the Chungcheong Mathematical Society
• /
• v.34 no.3
• /
• pp.285-294
• /
• 2021

In the present work we introduce Gaussian vertex prime labeling and investigate Gaussian vertex prime labeling for gear graph, book graph, wheel graph, kayak paddle, one point union of gear graph and one point union of wheel graph.